CURVILINEAR　INTEGRAL　OF　THE　VELOCITY　FIELD　OF　DRAWING　AND　EXTRUSION　THROUGH　ELLIPTIC　DIE　PROFILE

ＣＵＲＶＩＬＩＮＥＡＲＩＮＴＥＧＲＡＬＯＦＴＨＥＶＥＬＯＣＩＴＹＦＩＥＬＤＯＦＤＲＡＷＩＮＧＡＮＤＥＸＴＲＵＳＩＯＮＴＨＲＯＵＧＨＥＬＬＩＰＴＩＣＤＩＥＰＲＯＦＩＬＥ￥Ｚｈａｏ，Ｄｅｗｅｎ；Ｚｈａｏ，Ｈｏｎｇｊｉｎ；Ｗａｎｇ，Ｇｕｏｄｏｎｇ（Ｒｏｌｌ...

The kinematically admissiable velocity and strain rate fields were established to extrusion and drawing through the elliptic die profile. The curvilinear integral and the integral as a function of the upper limit were used respectively in obtaining the contact friction and plastic deformation powers. Furthermore, an upper bound analytical solution of deforming force was got for the plane strain drawing and extrusion through the elliptic die.